Since, the equation of curves are y=10−x2 y=2+x2 ......(i) Adding eqn (i) and (ii), we get 2y=12⇒y=6 Then, from eqn (i) x=±2 Differentiate equation (i) with respect to x
dy
dx
=−2x⇒(
dy
dx
)(2,6)=−4 and ==(
dy
dx
)(−2,6)=4 Differentiate equation (ii) with respect to x